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10106061060 = 22351724474049
BaseRepresentation
bin10010110100101111…
…00100000100000100
3222002022100002112210
421122113210010010
5131144122423220
64350451543420
7505303046604
oct113227440404
928068302483
1010106061060
114316676287
121b605bab70
13c509739b4
146bc290c04
153e235d6e0
hex25a5e4104

10106061060 has 96 divisors (see below), whose sum is σ = 29981145600. Its totient is φ = 2534760448.

The previous prime is 10106061047. The next prime is 10106061067. The reversal of 10106061060 is 6016060101.

It is not an unprimeable number, because it can be changed into a prime (10106061067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493916 + ... + 2497964.

It is an arithmetic number, because the mean of its divisors is an integer number (312303600).

Almost surely, 210106061060 is an apocalyptic number.

10106061060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106061060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990572800).

10106061060 is an abundant number, since it is smaller than the sum of its proper divisors (19875084540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10106061060 is a wasteful number, since it uses less digits than its factorization.

10106061060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10106061060 in words is "ten billion, one hundred six million, sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2447 4049 4894 7341 8098 9788 12147 12235 14682 16196 20245 24294 24470 29364 36705 40490 41599 48588 48940 60735 68833 73410 80980 83198 121470 124797 137666 146820 166396 206499 207995 242940 249594 275332 344165 412998 415990 499188 623985 688330 825996 831980 1032495 1247970 1376660 2064990 2495940 4129980 9907903 19815806 29723709 39631612 49539515 59447418 99079030 118894836 148618545 168434351 198158060 297237090 336868702 505303053 594474180 673737404 842171755 1010606106 1684343510 2021212212 2526515265 3368687020 5053030530 10106061060